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13377696 = 253331421
BaseRepresentation
bin110011000010…
…000010100000
3221011122202020
4303002002200
511411041241
61154421440
7221465013
oct63020240
927148666
1013377696
117607952
124591880
132a050c7
141ac337a
151293b66
hexcc20a0

13377696 has 48 divisors (see below), whose sum is σ = 35306208. Its totient is φ = 4435200.

The previous prime is 13377649. The next prime is 13377701. The reversal of 13377696 is 69677331.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31566 + ... + 31986.

It is an arithmetic number, because the mean of its divisors is an integer number (735546).

Almost surely, 213377696 is an apocalyptic number.

13377696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13377696 is an abundant number, since it is smaller than the sum of its proper divisors (21928512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13377696 is a wasteful number, since it uses less digits than its factorization.

13377696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 757 counting only the distinct ones).

The product of its digits is 142884, while the sum is 42.

The square root of 13377696 is about 3657.5532805415. The cubic root of 13377696 is about 237.3889179519.

The spelling of 13377696 in words is "thirteen million, three hundred seventy-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 331 421 662 842 993 1263 1324 1684 1986 2526 2648 3368 3972 5052 5296 6736 7944 10104 10592 13472 15888 20208 31776 40416 139351 278702 418053 557404 836106 1114808 1672212 2229616 3344424 4459232 6688848 13377696